Within Teamwork Projects, you can enable Google Team Drive sharing on your projects.

Google Team Drives are shared spaces where teams can easily store, search, and access their files anywhere, from any device.

Once enabled at a site level, go to the individual project settings by clicking the 'Settings' option to the top of the page:

Select the integrations options:

You will then be able to enable or disable the integration by toggling the button:

Once enabled, you can then select which top level (root) folder you would like to use. You can select any shared or team drive folders you are apart of.

Once you have chosen the folder, you will then have the option to choose which users from your Teamwork Projects site can view the files within the Google Team Drive:

Note: Only people who have access to the project the shared drive is set up on can view the files.